901728 has 72 divisors (see below), whose sum is σ = 2673216. Its totient is φ = 288000.

The previous prime is 901717. The next prime is 901739. The reversal of 901728 is 827109.

It is an interprime number because it is at equal distance from previous prime (901717) and next prime (901739).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×901728² = 1626226771968, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8878 + ... + 8978.

It is an arithmetic number, because the mean of its divisors is an integer number (37128).

2⁹⁰¹⁷²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336608).

901728 is an abundant number, since it is smaller than the sum of its proper divisors (1771488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

901728 is a wasteful number, since it uses less digits than its factorization.

901728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 901728 is about 949.5935972825. The cubic root of 901728 is about 96.6106902769.

It can be divided in two parts, 9017 and 28, that added together give a triangular number (9045 = T₁₃₄).

The spelling of 901728 in words is "nine hundred one thousand, seven hundred twenty-eight".